Subject description - B0B01MA1

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B0B01MA1 Mathematical Analysis 1
Roles:P Extent of teaching:4P+2S
Department:13101 Language of teaching:CS
Tutors:Dvořák J., Sobotíková V., Tkadlec J. Semester:Z,L

Web page:

https://moodle.fel.cvut.cz/courses/B0B01MA1

Anotation:

The aim of the course is to introduce students to basics of differential and integral calculus of functions of one variable.

Study targets:

The aim of the course is to introduce students to basics of differential and integral calculus of functions of one variable.

Course outlines:

 1 Real numbers. Elementary functions. 2 Limit and continuity of functions. 3 Derivative of functions, its properties and applications. 4 Mean value theorem. L'Hospital's rule, Taylor polynomial. 5 Local and global extrema and graphing functions. 6 Indefinite integral, basic integration methods. 7 Integration of rational and other types of functions. 8 Definite integral (using sums). Newton-Leibniz formula. 9 Improper integral. Application of integrals. 10 Sequences and their limits. 11 Rows, criteria of convergence. 12 Introduction to differential equations. 13 Other topics of mathematical analysis.

Exercises outline:

 1 Real numbers. Elementary functions. 2 Limit and continuity of functions. 3 Derivative of functions, its properties and applications. 4 Mean value theorem. L'Hospital's rule, Taylor polynomial. 5 Local and global extrema and graphing functions. 6 Indefinite integral, basic integration methods. 7 Integration of rational and other types of functions. 8 Definite integral (using sums). Newton-Leibniz formula. 9 Improper integral. Application of integrals. 10 Sequences and their limits. 11 Rows, criteria of convergence. 12 Introduction to differential equations. 13 Other topics of mathematical analysis.

Literature:

 [1] J. Stewart, Single variable calculus, Seventh Edition, Brooks/Cole, 2012, ISBN 0538497831.

Requirements:

See web page.

Keywords:

limits, derivatives, integrals, series

Subject is included into these academic programs:

 Program Branch Role Recommended semester BPOI1_2016 Computer and Information Science P 2 BPOI_BO_2016 Common courses P 2 BPOI4_2016 Computer Games and Graphics P 2 BPOI3_2016 Software P 2 BPOI2_2016 Internet of Things P 2 BPKYR_2016 Common courses P 1 BPKYR_2021 Common courses P 1 BPEK_2016 Common courses P 1 BPOI_BO_2018 Common courses P 2 BPOI4_2018 Computer Games and Graphics P 2 BPOI3_2018 Software P 2 BPOI2_2018 Internet of Things P 2 BPOI1_2018 Artificial Intelligence and Computer Science P 2 BPEEM1_2016 Applied Electrical Engineering P 1 BPEEM_BO_2016 Common courses P 1 BPEEM2_2016 Electrical Engineering and Management P 1

 Page updated 14.9.2024 17:51:09, semester: L/2023-4, Z,L/2024-5, Z/2023-4, Z/2025-6, Send comments about the content to the Administrators of the Academic Programs Proposal and Realization: I. Halaška (K336), J. Novák (K336)